On integrability of the geodesic deviation equation

Abstract The Jacobi equation for geodesic deviation describes finite size effects due to the gravitational tidal forces. In this paper we show how one can integrate the Jacobi equation in any spacetime admitting completely integrable geodesics. Namely, by linearizing the geodesic equation and its co...

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Bibliographic Details
Main Authors: Marco Cariglia, Tsuyoshi Houri, Pavel Krtouš, David Kubizňák
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-6133-1